138237000 has 256 divisors, whose sum is σ = 485222400. Its totient is φ = 32480000.

The previous prime is 138236977. The next prime is 138237007. The reversal of 138237000 is 732831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138237007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946965 + ... + 1947035.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 2^138237000 is an apocalyptic number.

138237000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138237000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611200).

138237000 is an abundant number, since it is smaller than the sum of its proper divisors (346985400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138237000 is a wasteful number, since it uses less digits than its factorization.

138237000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 138237000 is about 11757.4231870763. The cubic root of 138237000 is about 517.0605852426.

Adding to 138237000 its reverse (732831), we get a palindrome (138969831).

The spelling of 138237000 in words is "one hundred thirty-eight million, two hundred thirty-seven thousand".